Greatest Common Factor of 7/49, 54/64, 74/288, 288/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/49, 54/64, 74/288, 288/655

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7/49,54/64,74/288,288/655

Given fractions are 7/49,54/64,74/288,288/655

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7,54,74,288

Greatest Common Factor of Numerators i.e. GCF of 7,54,74,288 is 1 .

LCM of Denominators means LCM of 49,64,288,655 as per the given fractions.

LCM of 49,64,288,655 is 18486720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,54,74,288

GCF of Fractions 7/49,54/64,74/288,288/655 is 1/18486720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7,54,74,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,54,74,288 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 7,54,74,288 . The biggest common factor number is the GCF number.
So the greatest common factor 7,54,74,288 is 1.

Lets's calculate LCM of 49,64,288,655

2 49, 64, 288, 655
2 49, 32, 144, 655
2 49, 16, 72, 655
2 49, 8, 36, 655
2 49, 4, 18, 655
49, 2, 9, 655

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 49 x 2 x 9 x 655 = 18486720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18486720

Therefore, the GCF of Fractions 7/49,54/64,74/288,288/655 is 1/18486720

Least Common Multiple of 49,64,288,655 with GCF Formula

Least Common Multiple of 49,64,288,655 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,64,288,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,64,288,655) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(49,64,288,655) x common factors =1 x 32 = 32

LCM(49,64,288,655) = ( 49 × 64 × 288 × 655 ) / 32

LCM(49,64,288,655) = 591575040 / 32

LCM(49,64,288,655) = 18486720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7/49, 54/64, 74/288, 288/655

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7/49, 54/64, 74/288, 288/655?

Answer: GCF of Numerators as per given numbers 7/49, 54/64, 74/288, 288/655 is

GCF of Numerators i.e. for 7,54,74,288 is 1

LCM of denominators i.e. for 49,64,288,655 is 18486720.

Thus, GCF of Fractions is 1/18486720.Finally, GCF of Fractions for 7/49, 54/64, 74/288, 288/655 is 1/18486720.